Answer:
Step-by-step explanation:
<u>Given</u>
- m∠ABC = x°
- m∠BCD = 25°
- m∠CDE = 55°
- m∠DEF = 3x°
Add two more parallel lines passing through points C and D.
Consider alternate interior angles formed by the four parallel lines.
<u>The angles between the two middle lines are equal to:</u>
- m∠BCD - m∠ABC = m∠CDE - m∠DEF
<u>Substitute values and solve for x:</u>
- 25 - x = 55 - 3x
- 3x - x = 55 - 25
- 2x = 30
- x = 15
m∠ABC = 15°
Answer:
1229 km
Step-by-step explanation:
The missing angle is ...
180° -60° -75° = 45°
Knowing that, the Law of Sines can be used to find the side opposite the 75° angle.
?/sin(75°) = 900 km/sin(45°)
? = (900 km)sin(75°)/sin(45°) ≈ 1229.423 km
The UFO is about 1229 km from KA-12.
The area of the countertop is (16-ft x 3-ft) = 48 feet² .
1 foot = 0.3048 meter (rounded)
(1 foot)² = (0.3048 meter)² = 0.0929 meter²
48 feet² = (48 x 0.0929) = 4.459 meter² (rounded)
The answer is 10 because 5 10 15 20 25 30 35 40 45 50